13018199040 has 704 divisors, whose sum is σ = 57727365120. Its totient is φ = 2702868480.

The previous prime is 13018199023. The next prime is 13018199057. The reversal of 13018199040 is 4099181031.

It is an interprime number because it is at equal distance from previous prime (13018199023) and next prime (13018199057).

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13018198986 and 13018199004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10643869 + ... + 10645091.

Almost surely, 2^13018199040 is an apocalyptic number.

13018199040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13018199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28863682560).

13018199040 is an abundant number, since it is smaller than the sum of its proper divisors (44709166080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13018199040 is a wasteful number, since it uses less digits than its factorization.

13018199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 13018199040 in words is "thirteen billion, eighteen million, one hundred ninety-nine thousand, forty".